Departmental Bulletin Paper 二流体モデル方程式の数学的適切性に及ぼす付加慣性力項のガリレイ変換不変性の影響
ニリュウタイモデルホウテイシキ ノ スウガクテキ テキセツセイ ニ オヨボス フカカンセイリョクコウ ノ ガリレイヘンカンフヘンセイ ノ エイキョウ
Effect of the Galilean Transformation Invariance of Added Inertia Force Term

江頭 竜  ,  エガシラ リュウ  ,  Egashira Ryu

34pp.1 - 7 , 2017-10-31 , 福岡工業大学エレクトロニクス研究所 , Fukuoka Institute of Technology Electronics Research Laboratory
Effect of the Galilean transformation invariance of added inertia force term on mathematical well-posedness of two fluid model equation is investigated on the basis of eigenvalue analysis. Ill-posedness of the conventional two fluid model equation is known well since Lyczkowski et al. pointed it out in 1978. However, the reason for the ill-posedness has not yet been clarified. Eames et al. recently derived a formula of added inertia force term being invariant under the Galilean transformation, while Lyczkowski et al. studied the mathematical well-posedness using a not-invariant formula. The difference of mathematical well-posedness due to the above two formulas is demonstrated for the actual conditions.

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